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On Characterizations of Classical Polynomials by R. Álvarez-Nodarse is a Mathematics article available to read on EtoBox.
What is On Characterizations of Classical Polynomials about?
It is well known that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as eigenvectors of a second order linear differential operator with polynomial coefficients, Rodrigues formula, etc. In this paper we present a unified study of the classical discrete polynomials and q-polynomials of the q-Hahn tableau by using the difference calculus on linear-type lattices. We obtain in a straightforward way several characterization theorems for the classical discrete and q-polynomials of the "q-Hahn tableau". Finally, a detailed discussion of a characterization by Marcellán et al. is presented.
Who reads On Characterizations of Classical Polynomials?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- R. Álvarez-Nodarse
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)